444154368 has 160 divisors (see below), whose sum is σ = 1369019520. Its totient is φ = 125337600.

The previous prime is 444154351. The next prime is 444154379. The reversal of 444154368 is 863451444.

It is a super-2 number, since 2×444154368² = 394546205226958848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1085748 + ... + 1086156.

It is an arithmetic number, because the mean of its divisors is an integer number (8556372).

Almost surely, 2^444154368 is an apocalyptic number.

444154368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444154368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684509760).

444154368 is an abundant number, since it is smaller than the sum of its proper divisors (924865152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444154368 is a wasteful number, since it uses less digits than its factorization.

444154368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 522 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 444154368 is about 21074.9701779148. The cubic root of 444154368 is about 762.9767649166.

The spelling of 444154368 in words is "four hundred forty-four million, one hundred fifty-four thousand, three hundred sixty-eight".